Use the graph to determine which statement describes f(x)
O A. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
O B. f(x) has an inverse function, because its graph passes the
horizontal line test.
C. f(x) has an inverse function, because its graph passes the vertical
line test.
D. f(x) does not have an inverse function, because its graph fails the
vertical line test.
Answer:
f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A
Step-by-step explanation:
The vertical line test is used to show that the graph represents a
function or not
If the vertical line crosses the graph in more than one point, then the graph does not represent a functionIf the vertical line crosses the graph in only one point in different positions, then the graph represents a functionThe horizontal line test is used to show that the function has an
inverse or not
If the horizontal line crosses the graph of a function in more than one point, then the function has no inverseIf the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverseLet us look at the given graph
→ The graph represents a parabola, which represents the function f(x)
∵ Any horizontal line drawn will cross the graph in more than one point
∴ f(x) has no inverse
∴ f(x) does not have an inverse function, because its graph fails the
horizontal line test.
In a survey of 100 people, some of them jog for exercise, some of them ride a bike, some do both, and 15 do not jog or ride a bike. If 46 of the people surveyed job and 21 of them both jog and ride a bike, how many of the people surveyed only ride a bike?
Answer:
Bike alone = 39
Step-by-step explanation:
Given that:
Total number = n(T) = 100
Jog= n(J)
Bike = n(B)
Bike and jog = n(BnJ) = 21
Number who jog = 46
Jog alone = 46 - 21 = 25
Neither jog nor bike = 15
Let bike alone = x
Hence,
Jog alone + bike alone + jog and bike + none of the two = 100
25 + x + 21 + 15 = 100
x = 39
what is the x coordinate
Answer:
the x coordinate is the horizontal line wich is going in a straight line.
Step-by-step explanation:
The coordinates of
A are (0.5,4)
B are (-3,0)
C are (-1,1)
The formula for coordinates is (x,y).
The x coordinates are the ones that are on the horizontal line.
The y coordinates are the ones that are on the vertical line.
Oct 09, 11:40:51 AM
Solve the following inequality for f. Write your answer in simplest form.
9f + 5(-8f +1) < 3f +7 – 10
fi
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DIL
Which statement is true?
7 < 65 <8
4< 13 < 5
6 < 33 < 7
o 9 < 91 < 10
Answer:
→ All statement are false................
Fracción equivalente de 1/3
Answer:
2/6
Step-by-step explanation:
1/3 times 2
Suzanne bought 6 paint sets. Each set contains the same number of brushes. She has 18 brushes. Write and solve an equation to determine the number of paint brushes that came in each paint set. Explain the strategy that you used to solve the equation.
Answer:
3
Step-by-step explanation:
Given that:
The number of paint sets, Suzanne bought= 6
As each set contains the same number of brushes.
Let x be the number of brushes each set contains.
So, the total number of brushes in 6 sets = 6x.
It is given that the total number of brushes she has is 18, which is equals to 6x.
So, the required equation is
[tex]6x=18[/tex]
[tex]\Rightarrow x=\frac {18}{6}[/tex]
[tex]\Rightarrow x=3.[/tex]
Hence, the number of paint brushes each set contains is 3.
is a letter or symbol that represents the unknown value (term)
Variable
Step-by-step explanation:
if profit is ppersent and cost peice is cp qhat will ne the selling price
Answer:
selling price will be sp--------------------------
Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frustrating me. Thank you!
Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
convert the following fraction to the lowest term 0.4
Answer:
2/5.
Step-by-step explanation:
Hope this helps. S
Answer:
2/5 is the answer of this question
7.13 x 6.2 = 44.206
write down two more multiplications with an answer of 44.206
An end behavior model for f(x) =
=====================================================
As x gets larger and larger, all we really care about is the leading terms. This is because 8x^6 is much larger than -16x^3 and 8 for very very large x values. The larger the exponent, the larger the result will be.
So effectively, the leading term 8x^6 dictates the end behavior for the numerator.
In a similar way, the leading term 4x^2 dictates the end behavior for the denominator polynomial.
Divide the two leading terms:
(8x^6)/(4x^2) = (8/4)*x^(6-2) = 2x^4
The rule used here is (a^b)/(a^c) = a^(b-c)
So as x goes to infinity or negative infinity, it's slowly approaching the asymptote y = 2x^4.
SORRY I NEED HELP AGAIN! 5 cans of soda cost $3.75. At this rate, how much do 3 cans of soda cost?
Type your answer here..
Answer:
So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer: $11.25
Step-by-step explanation:
Heather made $299 for 13 hours of work.
At the same rate, how much would she make for 18 hours of work?
Answer:
$414
Step-by-step explanation:
We know that Heather made $299 for 13 hours of work.
So, to find how much Heather will make for 18 hours of work at the same rate, we can write and solve for the following proportion:
[tex]\frac{299}{13}=\frac{x}{18}[/tex]
Notice that we align the rates vertically and the measurements horizontally (dollars in the numerator and hours in the denominator).
So, to find how much Heather will make for 18 hours, we will solve for x. Cross-multiply:
[tex]13x=5382[/tex]
Divide both sides by 13:
[tex]x=\$414[/tex]
So, Heather will make $414 for 18 hours of work.
And we're done!
PLEASE HELP!!! AND HURRY, I HAVE 15 MIN TO FINISH!!!!!
Which best describes this inheritance pattern?
The diagram shows the results when two parents are
crossed. The letters represent alleles for a trait that is
controlled by three different genes.
o multiple allele because a trait is controlled by three
different genes
polygenic because the offspring have alleles from
both parents
multiple allele because the offspring have alleles
from both parents
polygenic because a trait is controlled by three
different genes
Answer:its b i think
Step-by-step explanation:
Answer: D, polygenis because a trait is controlled by three different genes.
Step-by-step explanation: I got 100 of the test ^^
2 1/3+3 1/3? (2 and 1/3+ 3 and 1/3)
Answer: 5 2/3
Step-by-step explanation:
Answer:
5.6666666667
Step-by-step explanation:
2 1/3 + 3 1/3
= 7/3 + 10/3
= 7/3 + 10/3
= 17/3
= 5.6666666667
Solve the formula for the surface area of a cone for the height of the cone.
Answer:
what are the measurements??
Step-by-step explanation:
round 75.0794 to 2 decimal places
Answer:
75.08
Step-by-step explanation:
Focus on the 2nd digit to the right of the decimal point (it is 7). The next digit is 9. Because of this (nex digit 5 or greater), we round the 7 up to 8 and obtain the answer
75.08
Nancy drew a scale drawing of a theater. In the scale Nancy used for the drawing, 1 inch represents 3 feet. The stage is 16 inches long in the drawing. How long in feet is the actual stage?
Answer:
The answer to this question is 48 feet
Step-by-step explanation:
You would see that 1 inch is 3 feet then you would multiply 3 and 16 to receive 48
Which is the point-slope equation of a line with a slope of 1/2 that contains (4,7)
My answer choices are
A= Y - 7 = 1/2 (x+4)
B= Y - 7 = 1/2 (x-4)
C = Y - 7 = - 4 + (1/2)
D = y + 7 = 1/2 (x+
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b) = (4, 7) , thus
y - 7 = [tex]\frac{1}{2}[/tex](x - 4) → B
HELP ASAP Determine the sequence of rigid motions and dilation that map the preimage abcde to each of its images.
Answer:
FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.
KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.
QRSTU : No sequence will map ABCDE to QRSTU.
VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.
I hope this helps! I had this question as well.
Answer:
FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.
KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.
QRSTU : No sequence will map ABCDE to QRSTU.
VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.
Step-by-step explanation:
Given the function g(x)=-x^2+6x+12g(x)=−x
2
+6x+12, determine the average rate of change of the function over the interval -3\le x \le 5−3≤x≤5.
Answer:
4
Step-by-step explanation:
edge
The average rate of the function is 4.
What is average rate of function?The average rate of change of a function f(x) over an interval [a, b] is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using [f(b) - f(a)] / (b - a). In other words, the average rate of change (which is denoted by A(x)) is the "ratio of change in outputs to change in inputs". i.e.,
A(x) = (change in outputs) / (change in inputs)
= Δy / Δx
= [f(b) - f(a)] / (b - a)
given function:
f(x) = -x² + 6x + 12
Now,
let a= -3, b = 5
and, f(b)= -(5*5) + 6*5 + 12
=-25+ 30 +12
= 17
f(a) = -(- 3 * (-3))+6(-3) +12
= -9-18+12
= -15
Now,
f(b)- f(a) / (b-a)
=17 -(-15))/5-(-3)
=32/ 8
=4
Learn more about rate of change here:
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I'm confused there is only i answer is it B or D?
Answer:
B
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
i need to know asap
Answer:
16/25 = 0.64
6/7 = 0.857142
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
HELPPPPPPPPPP ITS DUEEEEEEEEEEEEEEEE
Answer:
Look below.
Step-by-step explanation:
1.) Alternate exterior
2.) Alternate interior
3.) Same-side interior
4.) Vertical
5.) Corresponding
6.) Alternate exterior
Wally's grandmother started a college savings account for him with
$3,000. What is the total amount of money in the account after 5 years if
the annual simple interest rate is 3%?
I need this plz help explain the proses thx ASAP
Answer:
$450
Step-by-step explanation:
You want to calculate the interest on $3000 at 3% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $3000.00.
r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 3000 × 0.03 × 5 to get that:
The interest is: $450.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 3000.00 + 450.00 = 3450.00.
Can someone help me photo is above
Answer: 9x + (-1)
Step-by-step explanation:
(7x + 2x) + (2 -3)
9x + (-1)
Answer:
14x²-17x-6
Step-by-step explanation:
multiply (7x+2)(2x-3)
(1) multiply 7x and 2x =14x²
(2) multiply 7x and -3 = -21x
(3) multiply 2 and 2x= 4x
(4) multiply 2 and -3 = -6
Last step: add all answers from step 1 to 4
: 14x² +(-21x)+4x+(-6)
answer: 14x²-17x-6
ASAP PLS ILL GIVE BRAINLIEST
coordinate plane with points at A 0 comma 2 and B 2 comma 0 intersected by line f Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related? A) The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A. B) The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B. C) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line. D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
Answer:
D (0,6) (6,0)
Step-by-step explanation:
when you multiply it you do the x coordinates first then the y.
so (0,2) x 3 = (0,6)
(2,0) x 3 = (6,0)
These coordinates are parralel to each other.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel, the correct option is D.
What is Transformation?Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.
Dilation is a process in which the object or the graph is enlarged or compressed by a scale factor.
The coordinates of A( 0, 2)
The coordinates of B(2,0)
The scale factor is 3
The center of dilation of f is at the origin to create line f'.
The points A and B lie on the line f, when line f is dilated, the coordinates will also get dilated.
The coordinate of A after dilation is 3 * (0,2)
A' = (0,6)
The coordinate of B after dilation is 3 * (2,0 )
B' = (6,0)
The line f' will be parallel to the line f.
To know more about Transformation
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Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?
Answer:
22244
Step-by-step explanation:
(125*58)+(357*42)=22244